61582025 has 12 divisors (see below), whose sum is σ = 77804172. Its totient is φ = 48335040.

The previous prime is 61582019. The next prime is 61582033. The reversal of 61582025 is 52028516.

It can be written as a sum of positive squares in 6 ways, for example, as 1658944 + 59923081 = 1288^2 + 7741^2 .

It is not a de Polignac number, because 61582025 - 2⁴ = 61582009 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21914 + ... + 24563.

It is an arithmetic number, because the mean of its divisors is an integer number (6483681).

Almost surely, 2^61582025 is an apocalyptic number.

It is an amenable number.

61582025 is a deficient number, since it is larger than the sum of its proper divisors (16222147).

61582025 is a wasteful number, since it uses less digits than its factorization.

61582025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46540 (or 46535 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 61582025 is about 7847.4215510574. The cubic root of 61582025 is about 394.8977463247.

The spelling of 61582025 in words is "sixty-one million, five hundred eighty-two thousand, twenty-five".